1,120,155

3 × 5 × 53 × 1409

1,120,155 factors as 3 × 5 × 53 × 1409. Its 16 positive divisors give a proper-divisor sum of 707,205, so this integer is deficient. The Collatz stopping time is 59 steps.

Prime Factor Structure

Factorization String 3 × 5 × 53 × 1409

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,827,360

Proper Divisor Sum 707,205

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #1120153 ← → #1120157

Radix Representation

Decimal	1120155
Binary	100010001011110011011 (21 bits)
Octal	0o4213633
Hexadecimal	0x11179B

Divisor Catalog (16)

1 3 5 15 53 159 265 795 1,409 4,227 7,045 21,135 74,677 224,031 373,385 1,120,155

Collatz Trajectory (59 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

1,120,155 3,360,466 1,680,233 5,040,700 2,520,350 1,260,175 3,780,526 1,890,263 5,670,790 2,835,395 8,506,186 4,253,093 12,759,280 6,379,640 3,189,820 1,594,910 797,455 2,392,366 1,196,183 3,588,550 1,794,275 5,382,826 2,691,413 8,074,240 4,037,120 2,018,560 1,009,280 504,640 252,320 126,160 63,080 31,540 15,770 7,885 23,656 11,828 5,914 2,957 8,872 4,436 2,218 1,109 3,328 1,664 832 416 208 104 52 26 13 40 20 10 5 16 8 4 2 1

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